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vesna_86 [32]
3 years ago
6

Which of the following are roots of the polynomial function? Check all that apply f(x) = x^3 + 3x^2 - 9x + 5

Mathematics
1 answer:
lakkis [162]3 years ago
8 0

Answer:

x = 1 or x = -5

Step-by-step explanation:

Solve for x:

x^3 + 3 x^2 - 9 x + 5 = 0

The left hand side factors into a product with two terms:

(x - 1)^2 (x + 5) = 0

Split into two equations:

(x - 1)^2 = 0 or x + 5 = 0

Take the square root of both sides:

x - 1 = 0 or x + 5 = 0

Add 1 to both sides:

x = 1 or x + 5 = 0

Subtract 5 from both sides:

Answer:  x = 1 or x = -5

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In the diagram below qs and pt are altitudes and m r=55 what is m poq
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Step-by-step explanation: If you don’t want to read my long explanation, I drew a diagram of my work. :>

First we need to establish that POQ is a vertical angle to SOT, this makes the angles equal. We also need to establish that because the definition of an altitude, that T And S both form right angles. (An altitude is a perpendicular segment from a vertex of a triangle to the opposite side.) Now let’s take a look at the quadrilateral that is formed inside the triangle, the quadrilateral being RSOT. Luckily we know the measure of three of the angles, R=55, T=90, and S=90. If you didn’t know beforehand all angles of a quadrilateral add up to 360, so we can add up the angles we’ve already found to find the missing angle O/ SOT. When we add the angles, and then subtract that from 360 we get 125, so SOT=125. Remember that we established that SOT and POQ are vertical angles, so if SOT=125 then POQ=125.

I really hoped my explanation was good, this was my first time giving an answer. Also I’m sorry if my method of finding the answer wasn’t helpful, but this was the only way I could think of.

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A person stands 15 ft from an elephant. Determine how tall the elephant is in feet, the given diagram.
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Answer:

The height of the elephant is \dfrac{15}{\sqrt3}\ ft.      

Step-by-step explanation:

It is given that,

Distance between a person and an elephant is 15 ft

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We need to find the height of the elephant. For this let us consider that height is h. So,

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So, the height of the elephant is \dfrac{15}{\sqrt3}\ ft.      

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